Course Archives Theoretical Statistics and Mathematics Unit
Course: Representation theory of finite groups
Instructor: Anita Naolekar
Room: G23
Level: Undergraduate
Time: Currently offered
Past Exams


Introduction to multilinear algebra: Review of linear algebra, multilinear forms, tensor products, wedge product, Grassmann ring, symmetric product. Definition and examples of representations,; Group algebra and Maschkes Theorem, Schurs lemma, Characters and Schurs Orthogonality relations; Burnsides pq theorem, Permutation representations; Induced representations; Frobenius reciprocity law, Representation theory of symmetric groups, Random walks on groups.

Reference Texts:

(a) A. Prasad: Representation Theory: A Combinatorial Viewpoint.
(b) Benjamin Steinberg: Representation Theory of Finite Groups:An Introductory Approach.
(c) W. Fulton and J. Harris: Representation Theory, Part I.
(d) J-P Serre: Linear representations of finite groups.

Mid-term 30 marks
Assignment 20 marks
Final Exam 50 marks
Total 100 marks

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Past Exams
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